D they all have the same slope.
Answer:
Jay has the fastest time because the he gained more meters per second.
Answer: C & E
40% is equal to 0.4 as a decimal. As a fraction it is equal to 2/5 in simplest form.
In order to find the present you would have to multiple one of the numbers above by the initial value 84.
If you would like further explanation let me know. :)
Answer:
Cost of small box of oranges = 7
Cost of small box of oranges = 13
Step-by-step explanation:
Step 1) Let the cost of small box of oranges = x
Let the cost of small box of oranges = y
Step 2)
Equation 1) Matt sells 3 small boxes and 14 large boxes for Php. 203
3x + 14y = 203 -------------------(I)
Equation 2) Ming sells 11 small boxes and 11 large boxes for Php. 220
11x + 11y = 220 ----------------(II)
Step 3:
Multiply equation (I) by 11 and equation (II) by (-3).
(I)*11 33x + 154y = 2233
(II)*(-3) <u>-33x - 33y = -660 </u> {Now add and x will be eliminated}
121y = 1573
y = 1573/121
y = 13
Substitute y = 13 in equation (II)
11x + 11*13 = 220
11x + 143 = 220
11x = 220 - 143
11x = 77
x = 77/11
x = 7
We can determine this to be a Geometric Sequence with:
a = 2
r = 1/2
an = ?
We must first find an. We know that an = 1/256, therefore we can use this formula to discover an:
an = a * r^n-1
1/256 = 2 * 1/2^n-1
<span>1/256 / 2 = 1/2^n-1
</span>1/512 = 1/2^n-1
<span>log(1/512) = log(1/2^n-1)
</span>9 = n - 1
10 = n
Therefore, we know an = 10
Now we input it into this equation and solve:
Sn = a(1-r^n/1-<span>r)
</span>Sn = 2(1-1/2^10/1-1/2<span>)
</span>Sn = 2(1023/1024 / 1 / 2)
Sn = 2(1023/1024 * 2 / 1)
<span>Sn = 2(2046/1024)
</span><span>Sn = 2(1023/512)
</span>Sn = 1023/256
Sn = 3.992
Geez, that took awhile... xD
